The drain valve, Hobart part 00-329241 Drain Valve Body, looks like this
https://partstown.sirv.com/products/HOB/HOB00-329241.view?thumb&image.rules=G0&w=800
It sits under the tub and is solenoid operated. The machine has one large pump, for wash/rinse and for drain. The solenoid, which switches the valve between wash/rinse and drain, is readily available. I haven’t found the valve anywhere. To replace, you separate the upper half of the machine with controls, tub, and arms from the lower half with pump, plumbing, hot tank, etc.
Hobart stopped using the solenoid-switched drain valve during the long run of the LX30/40 line, and switched to a design with a separate drain pump with a separate water inlet from the tank. More expensive but probably more reliable. So my machine is an old version of an old model, which makes the parts NLA issue worse.
In addition to (temporarily, alas) un-sticking the valve, the Hobart tech replaced some plastic fittings that were leaking (pulled parts off scrap machines or used the last part he had) and looked over the machine, then gave me his doleful assessment. That cost $361.